# Acceleration Calculations (Grades 11-12)

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## Acceleration Calculations

**Instructions:**
Read each question carefully. Determine what the question is asking and the steps you need to take to solve the problem. For each calculation, you must show all your math work.

1.

If a body goes from 10m/s to 50m/s in 8 seconds, what is its acceleration?

- [math]1.25m/s^2[/math]
- [math]5m/s^2[/math]
- [math]6.25m/s^2[/math]
- [math]40m/s^2[/math]

2.

An automobile accelerates at [math]4m/(s^2)[/math] from 20 m/s to 36 m/s. How long did that acceleration take?

3.

What acceleration does it take to reach 23.5 m/s (from rest) in 4.32 seconds?

4.

Suppose you are traveling 19.4 m/s and a deer runs onto the road less than 50m ahead of you. What acceleration does it take to stop in 3 seconds? How far will you have traveled, and will you hit the deer (if it doesn't run)?

5.

If you start with an initial velocity of 17 m/s and have an acceleration of [math]-2m/(s^2)[/math], what is your final velocity after 9 seconds?

6.

A car changes its speed from 0 to 25 m/s in 3.6 seconds. What is its acceleration?

7.

A man is driving his car north on the highway at a constant velocity of 50 mph for 100 s. What is the value of his acceleration?

8.

A cart traveling at 1 m/s reaches a hill and accelerates down the hill at [math]0.75m/(s^2)[/math]. What is the instantaneous velocity of the cart 3 seconds after it starts accelerating?

9.

A quarter is flipped up in the air at the start of a football game and returns to the point from which it was flipped after [math]2.5s[/math]. What would be the quarterâ€™s original speed, presuming that the acceleration of the quarter is [math]9.8m/(s^2)[/math] downward?

- 4.9 m/s
- 25 m/s
- 12.25 m/s
- 49 m/s

10.

A watermelon is dropped from the roof of a three-story building. Assuming the friction of air is negligible, how far does the watermelon have to fall in order to reach a velocity of 10 m/s?

- 4.9 m
- 5.1 m
- 9.8 m
- impossible to determine

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